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Math Help - Drawing a graph of function F(x,y)

  1. #1
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    Drawing a graph of function F(x,y)

    Z=4x^2+9y^2
    y^2=-\frac{4}{9}x^2

    How to draw a graph ?
    Sqare root turns out to be negative.
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  2. #2
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    Quote Originally Posted by totalnewbie View Post
    Z=4x^2+9y^2
    This one is a parabolid which opens up on the z-axis.

    y^2=-\frac{4}{9}x^2
    The problem is like you said.
    If x>0 or x<0 then we have a problem because the RHS is negative. Thus, x=0, in that case y=0 too. But there is no restriction on z, thus we move along the z-axis, thus we have a line, in fact, the z-axis.
    Attached Thumbnails Attached Thumbnails Drawing a graph of function F(x,y)-picture8.gif  
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